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Finding the Fourth Proportional to 897.68, 1,238.93 and 504.74

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Solution

The fourth proportional to 897.68, 1,238.93 and 504.74 is: 696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.68 : 1,238.93 = 504.74 : x
  2. Step 2: Convert to fraction form
    897.68/1,238.93 = 504.74/x
  3. Step 3: Cross multiply
    897.68x = 1,238.93 × 504.74
  4. Step 4: Simplify right side
    897.68x = 625,328.81
  5. Step 5: Solve for x
    x = 625,328.81/897.68
  6. Step 6: Final answer
    x = 696.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.